Question

No. 2 alyssa has some coins in her purse consisting of pennies, nickels and dimes. She has 2 more nickels than dimes and thrice as many pennies as nickels. If the total is 0.52 dollars how many coins of each kind does she have.

Answer 1

number of dimes --- x
number of nickels --- x+2
number of pennies --- 3(x+2)

now considering value of these coins:

10x + 5(x+2) + 1(3)(x+2) = 52

take over

Answer 2

10x+5(x+2)+1(3)(x+2)=52
10x+5x+10+3(x+2)=52
10x+5x+10+3x+6=52
18x+16=52
18x=36
x=2
2 dimes
4 nickels
12 pennies